Quotes About Formal system

The object of linguistics is language; that of poetics is concrete utterance. Language is an institution, a formal system which constitutes, for the hypothetical speaker, a "competence"; it is a virtual object. Speech (the poetic utterance, for our purposes) is an individual act which formulates a concrete discourse; it is a "performance".

Mathematical truth is not determined arbitrarily by the rules of some 'man-made' formal system, but has an absolute nature, and lies beyond any such system of specifiable rules.

Mathematical truth is not determined arbitrarily by the rules of some 'man-made' formal system, but has an absolute nature, and lies beyond any such system of specifiable rules. Support for the Platonic viewpoint ...was an important part of Godel's initial motivations.

That's right. Arithmetic as a formal system is inconsistent.

Furthermore, once we have a category, we often stop looking outside of the categories for meaning, as our formal system of carrots and sticks exists solely within the categories

Much information important for strategy making never does become hard fact. The expression on a customer's face, the mood in the factory, the tone of voice of a government official, all of this can be information for the manager but not for the formal system.